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Finding the Fourth Proportional to 4,584.06, 6,875.91 and 1,809.90

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Solution

The fourth proportional to 4,584.06, 6,875.91 and 1,809.90 is: 2,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.06 : 6,875.91 = 1,809.90 : x
  2. Step 2: Convert to fraction form
    4,584.06/6,875.91 = 1,809.90/x
  3. Step 3: Cross multiply
    4,584.06x = 6,875.91 × 1,809.90
  4. Step 4: Simplify right side
    4,584.06x = 12,444,709.51
  5. Step 5: Solve for x
    x = 12,444,709.51/4,584.06
  6. Step 6: Final answer
    x = 2,714.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.